Olivia has a pool slide that makes an angle of 25º with the water. The top of the slide stands 4.5 feet above the surface of the water. The slide makes a straight line into the water. How long is the slide?
sin 25° = 4.5/x
x = 4.5/sin25 = appr 10.6 ft
The diameter of a merry go round at the playground is 12 feet Elijah stands on the edge and his sister pushes him around choose the letter for the best answer
To find the length of the slide, we can use trigonometry. We know the vertical height (4.5 feet) and the angle (25º).
Step 1: Convert the angle from degrees to radians.
Radians = Degrees * π / 180
Radians = 25º * π / 180
Radians ≈ 0.436 radians
Step 2: Use the tangent function to find the length of the slide.
Tangent(angle) = Opposite / Adjacent
Tangent(0.436) = 4.5 / Slide Length
Rearrange the equation to solve for the length of the slide:
Slide Length = 4.5 / Tangent(0.436)
Slide Length ≈ 4.5 / 0.466
Slide Length ≈ 9.66 feet
Thus, the length of the slide is approximately 9.66 feet.
To find the length of the slide, we can use trigonometry. We'll need to use the tangent function since we have the angle and the opposite side length.
The tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side. In this case, the angle is 25º and the opposite side is the height of the slide (4.5 feet). We want to find the length of the hypotenuse, which is the length of the slide.
Let's use the formula for tangent:
tan(angle) = opposite/adjacent
Plugging in the values we know:
tan(25º) = 4.5 feet/adjacent
To solve for the adjacent side, we rearrange the equation:
adjacent = 4.5 feet / tan(25º)
Now, we can calculate the adjacent side using a calculator:
adjacent = 4.5 feet / tan(25º) ≈ 10.01 feet
Therefore, the length of the slide is approximately 10.01 feet.